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Finding the Fourth Proportional to 201,155.96, 277,564.40 and 116,256.64

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Solution

The fourth proportional to 201,155.96, 277,564.40 and 116,256.64 is: 160,416.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,155.96 : 277,564.40 = 116,256.64 : x
  2. Step 2: Convert to fraction form
    201,155.96/277,564.40 = 116,256.64/x
  3. Step 3: Cross multiply
    201,155.96x = 277,564.40 × 116,256.64
  4. Step 4: Simplify right side
    201,155.96x = 32,268,704,527.62
  5. Step 5: Solve for x
    x = 32,268,704,527.62/201,155.96
  6. Step 6: Final answer
    x = 160,416.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.